Question

A triangle has a height of x meters and a base of 14 meters. Write and solve an inequality for the values of x that give an area of at most 112 m

Answer 1

1/2*14m*x <= 112m^2

x<=112m^2/7m=112m/7 =16m

so x<=16m

Answer 2

The values of x must be 16 meters or less to satisfy the inequality. (x ≤ 16 m)

Explanation:

The area of a triangle is given by the formula:

A=
`(bh)/(2)`

Where 'b' is the base of the triangle (in this case is equals to 14 meters)

'h' is the height of the triangle (in this case is x)

As the area of the triangle must be less or equal to 112 m², the inequality is given by:

112m²≥
`((14m)x)/(2)`

`(112m^(2)*2 )/(14m)`≥x

16m ≥ x